PSSA Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Draw, construct, and describe geometrical figures and describe the relationships between them
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem
Know the formulas for the area and circumference of a circle and use them to solve problems

Standards basis

Pennsylvania Academic Standards for Mathematics / Pennsylvania Assessment Anchors and Eligible Content — Pennsylvania

How the PSSA reports it

PSSA is Pennsylvania’s own standards-based, criterion-referenced assessment. Its math reporting structure is built on the Pennsylvania Academic Standards/Assessment Anchors and Eligible Content rather than a separate multi-state framework, and it closely mirrors CCSS-style grade-level domains.

Blueprint & weighting

The official PSSA page lists the Mathematics Test Design and grade-level item/scoring samplers, but the accessible source excerpt did not expose a usable per-domain percentage blueprint; no reliable item-weight table was recoverable from the available primary page text.

Official sources

Pennsylvania Department of Education — Pennsylvania System of School Assessment (PSSA)
Pennsylvania Department of Education — View Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two angles are supplementary. One measures $25°$ . What is the other?

$180 - 25 = 155°$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

A circle has radius $5$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 25 = 75$ .

Practice playeasy

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

The scale factor from pentagon $ABCDE$ to pentagon $FGHJK$ is $\dfrac{21}{35} = \dfrac{3}{5}\textsf{.}$ So $FG = 20 \cdot \dfrac{3}{5} = 12\textsf{.}$

Practice playeasy

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

$V = 2 \times 3 \times 4 = 24$ .

Practice playhard

A rectangular prism has volume $160$ cubic inches and height $5$ inches. The length is twice the width. What is the length, in inches?

$V = \ell w h$ and $\ell = 2w$ , so $160 = (2w)(w)(5) = 10w^2$ . Then $w^2 = 16$ , so $w = 4$ and $\ell = 8\text{ in}\textsf{.}$

Practice playmedium

A metal pipe is shaped like a cylinder with radius $2$ centimeters and length $10$ centimeters. Both ends of the pipe are open. What is the exterior surface area, in square centimeters, of the pipe?

With both ends open, only the lateral surface is exterior: $SA = 2\pi rh$ . With $r = 2$ and $h = 10$ , $SA = 2\pi(2)(10) = 40\pi$ square centimeters.